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Finding the Fourth Proportional to 5,235.84, 7,848.90 and 1,948.14

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Solution

The fourth proportional to 5,235.84, 7,848.90 and 1,948.14 is: 2,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.84 : 7,848.90 = 1,948.14 : x
  2. Step 2: Convert to fraction form
    5,235.84/7,848.90 = 1,948.14/x
  3. Step 3: Cross multiply
    5,235.84x = 7,848.90 × 1,948.14
  4. Step 4: Simplify right side
    5,235.84x = 15,290,756.05
  5. Step 5: Solve for x
    x = 15,290,756.05/5,235.84
  6. Step 6: Final answer
    x = 2,920.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.